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Finding the Fourth Proportional to 253.86, 349.98 and 195.54

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Solution

The fourth proportional to 253.86, 349.98 and 195.54 is: 269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.86 : 349.98 = 195.54 : x
  2. Step 2: Convert to fraction form
    253.86/349.98 = 195.54/x
  3. Step 3: Cross multiply
    253.86x = 349.98 × 195.54
  4. Step 4: Simplify right side
    253.86x = 68,435.09
  5. Step 5: Solve for x
    x = 68,435.09/253.86
  6. Step 6: Final answer
    x = 269.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.